A new CNN/ORC poll shows that Boehner has a lot to lose with the strategy. Public opinion is far apart from Boehner and Republicans on both issues pertaining to the fiscal cliff and general political philosophy.

53 percent say the GOP's positions are "too extreme." Only 37 percent say the same about Democrats.

43 percent say Republicans have "generally mainstream views." 57 percent said the same about Democrats.

By a 39-29 margin, Independents say they trust Obama more than House Republicans.

The bottom line: 70 percent of people think going over the fiscal cliff is something that will profoundly affect them — they said it would either be a "crisis" or cause major problems for the country. And if the U.S. does go over the cliff, 48 percent are going to blame Boehner and Republicans, while just 37 percent will blame the President.